A Pyrex flask in a refrigerator at -8 degrees Celsius is filled to the top and holds exactly 1000cm^3 of ethyl alcohol.

If the refrigerator fails, how much alcohol spills by the time the temperature reaches 22 degrees Celsius? The coefficient of volume expansion of ethyl alcohol is 0.00112 (C)^-1. Ignore the expansion of the flask. Answer in units of cm^3.

To calculate the amount of alcohol that spills when the temperature increases from -8 degrees Celsius to 22 degrees Celsius, we need to consider the change in volume due to the expansion of the ethyl alcohol.

The formula for the change in volume with temperature change is given by:
ΔV = V₀ * β * ΔT
where:
- ΔV is the change in volume
- V₀ is the initial volume (1000 cm³ in this case)
- β is the coefficient of volume expansion (0.00112 (°C)^-1 in this case)
- ΔT is the change in temperature (22°C - (-8°C) = 30°C in this case)

Plugging in the given values, we can calculate the change in volume:
ΔV = 1000 cm³ * 0.00112 (°C)^-1 * 30°C
ΔV = 33.6 cm³

Therefore, by the time the temperature reaches 22 degrees Celsius, approximately 33.6 cm³ of alcohol will spill out.